IEICE TRANSACTIONS on Fundamentals
Syndrome Decoding of Symbol-Pair Codes
Summary :
Cassuto and Blaum proposed new error correcting codes which are called symbol-pair codes. They presented a coding framework for channels whose outputs are overlapping pairs of symbols in storage applications. Such channels are called symbol-pair read channels. The pair distance and pair error are used in symbol-pair read channels. Cassuto et al. and Yaakobi et al. presented decoding algorithms for symbol-pair codes. However, their decoding algorithms cannot always correct errors whose number is not more than half the minimum pair distance. In this paper, we propose a new decoding algorithm using syndromes of symbol-pair codes. In addition, we show that the proposed algorithm can correct all pair errors within the pair error correcting capability.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E98-A No.12 pp.2423-2428
- Publication Date
- 2015/12/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E98.A.2423
- Type of Manuscript
- Special Section PAPER (Special Section on Information Theory and Its Applications)
- Category
- Coding Theory
Authors
Makoto TAKITA
Kobe University
Masanori HIROTOMO
Saga University
Masakatu MORII
Kobe University
Keyword
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Makoto TAKITA, Masanori HIROTOMO, Masakatu MORII, "Syndrome Decoding of Symbol-Pair Codes" in IEICE TRANSACTIONS on Fundamentals,
vol. E98-A, no. 12, pp. 2423-2428, December 2015, doi: 10.1587/transfun.E98.A.2423.
Abstract: Cassuto and Blaum proposed new error correcting codes which are called symbol-pair codes. They presented a coding framework for channels whose outputs are overlapping pairs of symbols in storage applications. Such channels are called symbol-pair read channels. The pair distance and pair error are used in symbol-pair read channels. Cassuto et al. and Yaakobi et al. presented decoding algorithms for symbol-pair codes. However, their decoding algorithms cannot always correct errors whose number is not more than half the minimum pair distance. In this paper, we propose a new decoding algorithm using syndromes of symbol-pair codes. In addition, we show that the proposed algorithm can correct all pair errors within the pair error correcting capability.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E98.A.2423/_p
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@ARTICLE{e98-a_12_2423,
author={Makoto TAKITA, Masanori HIROTOMO, Masakatu MORII, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Syndrome Decoding of Symbol-Pair Codes},
year={2015},
volume={E98-A},
number={12},
pages={2423-2428},
abstract={Cassuto and Blaum proposed new error correcting codes which are called symbol-pair codes. They presented a coding framework for channels whose outputs are overlapping pairs of symbols in storage applications. Such channels are called symbol-pair read channels. The pair distance and pair error are used in symbol-pair read channels. Cassuto et al. and Yaakobi et al. presented decoding algorithms for symbol-pair codes. However, their decoding algorithms cannot always correct errors whose number is not more than half the minimum pair distance. In this paper, we propose a new decoding algorithm using syndromes of symbol-pair codes. In addition, we show that the proposed algorithm can correct all pair errors within the pair error correcting capability.},
keywords={},
doi={10.1587/transfun.E98.A.2423},
ISSN={1745-1337},
month={December},}
Copy
TY - JOUR
TI - Syndrome Decoding of Symbol-Pair Codes
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2423
EP - 2428
AU - Makoto TAKITA
AU - Masanori HIROTOMO
AU - Masakatu MORII
PY - 2015
DO - 10.1587/transfun.E98.A.2423
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E98-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2015
AB - Cassuto and Blaum proposed new error correcting codes which are called symbol-pair codes. They presented a coding framework for channels whose outputs are overlapping pairs of symbols in storage applications. Such channels are called symbol-pair read channels. The pair distance and pair error are used in symbol-pair read channels. Cassuto et al. and Yaakobi et al. presented decoding algorithms for symbol-pair codes. However, their decoding algorithms cannot always correct errors whose number is not more than half the minimum pair distance. In this paper, we propose a new decoding algorithm using syndromes of symbol-pair codes. In addition, we show that the proposed algorithm can correct all pair errors within the pair error correcting capability.
ER -
English
